(x² + y² + 1) dx + x (x – 2y) dy

Q: Find the general solution of the following differential equation 2ď²y dy + 4y = x² + In æ dx da?

A: Given   x2 d2ydx2 - xdydx + 4y = x2+ in x - (1)let  x = ez           ie  z=lnx - (2)xdydx = Dy…

Q: 3. Find all solutions of the given differential equation. dy xy dx x² + 1

A: Given dydx=xyx2+1

Q: Calculate the value(s) of C for which y=x'-2C is a solution to the differential equation dy -3y-54 =…

A: We have to find the value of C

Q: Find the solution of the following differential equations. 1) (x-2y)dx+(2x+ y)dy =0

A:

Q: Find the general solution of the following differential equation dy -4y + (r² + 1) e- dt

A:

Q: (1 – xy)-²dx + [y² + x²(1 – xy)-2]dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact. If ∂M∂y=∂N∂x. So, the solution of the…

Q: 2ydx + (x x*y*) dy =D 0 - 4.

A:

Q: 5. Find the solution of the differential equation that satisfies the given initial condition. dy =y²…

A: Topic- differential equations

Q: y-3y+2y=2x +sin x+(1+2x)e" +4e* %3D

A:

Q: Find the general solution of the given differential equation. d'y 4 dx dy dy 5- = 0 - dx dx

A: Given differential equation is d3ydx3−4d2ydx2−5dydx=0 We have to find the general solution of the…

Q: 4. Find the general solution of the differential equation using the method of undetermined…

A:

Q: 2 = 5y + e-2*y-2 ; when y(0) = 2 dx

A: Given:    y'=5y+e-2xy-2     y(0) = 2

Q: determine the value of C of the general solution of the separable differential equation dy/dx= 2y/x…

A: Given: A differential equation dydx=2yx As this is a separable differential equation so it can be…

Q: Find the general solution of the differential equation d²y dy + 4 dx2 dx + 4y = e2* sin(2x).

A:

Q: (3xy2 - y2)dx + (2x²y – 2y)dy = 0

A: It is a separable differential equation and explanation of the answer is as follows

Q: (y2 − 3y − x) dx + (2y − 3) dy = 0

A: Given: (y2 − 3y − x) dx + (2y − 3) dy = 0

Q: Find the solution of the following Differential Equations 2dx - e*dy = 0 V-x

A: Differential equation of variable separable

Q: Determine the particular solution of the given differential equation: 6y' – 2y = xy* @ y(0) = -2

A: This differential equation is in the form of Bernaulli's equation. So first we reduce it in the…

Q: Find the general solution of the given differential equation (2y − x)dy + (4y + x − 6)dx = 0

A: Given differential equation, 2y-xdy+4y+x-6dx=0 Find the general solution of this differential…

Q: Obtain the general solution of the given differential equation: x2dx+y(1-x)dy=0

A: Given that: x2dx+y(1-x)dy=0

Q: Show that the function y = x²+cx is a solution of the following differential equation dy x = x' + y.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (2x+xy)dy+2ydx=0

A:

Q: Find the general solution of the differential equation given below ylnxlnydx + dy = 0

A: We will solve it using separating the variables

Q: determine the value of C of the general solution of the separable differential equation dy/dx= xy^2…

A: From the given problem: dydx=xy2 So, dydx=xy2dy=xy2dxdyy2=xdx Now integrate on both side:…

Q: (군2-1) 을 + 2y3 (+ 1)°

A: Given ODE : (x2-1)dydx+2y=(x+1)2 ⇒dydx+2yx2-1=(x+1)2x2-1⇒dydx+2yx2-1=x+1x-1 Which Linear…

Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Given differential equation is:  d2ydx2-2dydx+y=e-4x(x-1);     y'(0)=0, y(0)=0 Solution of…

Q: Find the general solution of the given higher-order differential equation. ²y - 32y = 0 dx² X(X) 11…

A: Find the general solution of the given higher-order differential equation.

Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

A:

Q: (2xy-y^)dx=(x²+xy²)dy=0

A:

Q: Solve for the general solution of the following differential equations. (2x – y²)dx + xydy = 0

A:

Q: 3. 3(x² + y²)dx + x(x² + 3y2 + 6y) dy = 0; when x=2, y=0

A: follow next step

Q: dy y/x + x²/y²; y(1)=0 dx

A:

Q: Find the general solution of the given differential equation. (1+r²)yl – 2ry = 2r(1+x²)

A:

Q: xy' = y + Vx² + y2

A:

Q: Find the General Solution of this Differential Equation 1. (xy² + x) dx + yx² dy = 0

A: See detailed solution below. Using properties of derivative and variable seperable method

Q: Find the solution of the following second order differential equation d²y(x) dy +x- +x² y(x) = 0 dx…

A:

Q: Find the particular solution of the following differential equation ( xy^2 - x ) dx - ( 2x^2y - 3y…

A:

Q: (x2 + y²)ydx + x(3x² – 5y²)dy =

A:

Q: 2(2x2 + y?) dx – xy dy = 0 -

A: Given:- 2(2x2 + y2 ) dx - xy dy = 0 To find:- General solution of given differential equation

Q: (x + 2y – 1)dx + (3x + 6y)dy = 0.

A:

Q: Obtain the solution of the following differential equations. 1. 2x(y+ 1) dx – ydy = 0 ; when x = 0,y…

A: We can solve the given problem using concept of differential equation. According to bartleby…

Q: f. (1 + x)² + y² = 1 dx

A: Given differential equation is (1 + x)2dydx + y2 = 1

Q: Determine the general solution of the given Differential Equation 3x (xy – 2)dx + (x³ + 2y)dy = 0

A: Proceed as shown below...

Q: Find the general solution of the given differential equation: dy = x²y %3D dx

A: Solving

Q: (1 + In xy) dx + (1 + x/y) dy = O

A: The given exact differential equation is…

Q: dy x+y=x²y² ln x dx

A:

Q: Find the general solution for the following ordinary differential equations: x2 dy/dx +…

A: I used the method of partial fraction to solve the integral part

Q: Obtain the solution of the following differential equations. 1. 3x²ydx + (y* – x³)dy = 0

A: Given: 3x2ydx+y4-x3dy=0

Q: x²dx + y(1 – x)dy = 0

A:

Q: Find the General Solution of the following differential equations:: (x - y)dx + (3x + y)dy= 0

A: x-ydx+3x+ydy=0⇒dydx=-xx-y3x+y⇒dydx=y-xy+3x⇒dydx=yx-1yx+3Let y=x⇒dydx=x dvdx+v⇒x…